504880992 has 192 divisors, whose sum is σ = 1836172800. Its totient is φ = 131120640.

The previous prime is 504880991. The next prime is 504880993. The reversal of 504880992 is 299088405.

It is an interprime number because it is at equal distance from previous prime (504880991) and next prime (504880993).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504880991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62734 + ... + 70322.

It is an arithmetic number, because the mean of its divisors is an integer number (9563400).

Almost surely, 2^504880992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504880992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918086400).

504880992 is an abundant number, since it is smaller than the sum of its proper divisors (1331291808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

504880992 is a wasteful number, since it uses less digits than its factorization.

504880992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 504880992 is about 22469.5570049790. The cubic root of 504880992 is about 796.2748644630.

The spelling of 504880992 in words is "five hundred four million, eight hundred eighty thousand, nine hundred ninety-two".